Renormalization and quantum effects in a two-dimensional planar model

✍ Scribed by E. Šimánek; K. Stein

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 937 KB
• Volume: 129
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(84)90020-7

✦ Synopsis

We examine the influence of the charging energy on the vortex unbinding transition in two-dimensional arrays of Josephson junctions. The fluctuations of the phase about the timedependent vortex solutions are treated within the self-consistent harmonic approximation. A new relation between the renormalized vortex unbinding temperature T, and the charging energy U is derived. We predict a continuous drop of T, at a critical value of U well below the spurious first order transition of the rigidity constant. The results are interpreted as a quantum assisted dissociation of vortex pairs.